What is the Least Common Multiple of 44689 and 44696?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 44689 and 44696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44689 and 44696, than apply into the LCM equation.

GCF(44689,44696) = 1
LCM(44689,44696) = ( 44689 × 44696) / 1
LCM(44689,44696) = 1997419544 / 1
LCM(44689,44696) = 1997419544

Least Common Multiple (LCM) of 44689 and 44696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44689 and 44696. First we will calculate the prime factors of 44689 and 44696.

Prime Factorization of 44689

Prime Factorization of 44696

Now multiplying the highest exponent prime factors to calculate the LCM of 44689 and 44696.

LCM(44689,44696) = 23¹ × 29¹ × 67¹ × 2³ × 37¹ × 151¹
LCM(44689,44696) = 1997419544